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Simplify. Rewrite the expression in the form 8^(n). (8^(-8))(8^(3))=

Simplify.\newlineRewrite the expression in the form \newline8n8^{n}.\newline(8−8)(83)=(8^{-8})(8^{3})=

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Evaluate expressions using properties of exponentsright chevron icon

Full solution

Q. Simplify.\newlineRewrite the expression in the form \newline8n8^{n}.\newline(8−8)(83)=(8^{-8})(8^{3})=
  1. Write Expression: Write down the given expression.\newlineWe have the expression (8−8)(83)(8^{-8})(8^{3}).
  2. Apply Law of Exponents: Apply the law of exponents for multiplication, which states that when multiplying two powers with the same base, you add the exponents.\newlineSo, (8−8)(83)=8−8+3(8^{-8})(8^{3}) = 8^{-8 + 3}.
  3. Perform Exponent Addition: Perform the addition of the exponents.\newline−8+3=−5-8 + 3 = -5.\newlineSo, 8(−8+3)=8−58^{(-8 + 3)} = 8^{-5}.
  4. Write Final Expression: Write the final simplified expression.\newlineThe expression is now in the form 8n8^{n}, where n=−5n = -5.

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